A0824
Title: The summary of effect aliasing structure for supersaturated and factorial designs
Authors: Yi-Hua Liao - National Tsing Hua University (Taiwan)
Frederick Kin Hing Phoa - Academia Sinica (Taiwan) [presenting]
Abstract: In the assessment and selection of supersaturated designs, the aliasing structure of interaction effects is usually ignored in traditional criteria such as $E(s^2)$ optimality. We introduce the Summary of Effect Aliasing Structure (SEAS) for assessing the aliasing structure of supersaturated designs and other nonregular fractional factorial designs that takes account of interaction terms and provides detailed summaries such as (generalized) resolution and wordlength patterns. The new summary consists of three criteria, abbreviated as MAP: (1) the Maximum dependency aliasing pattern; (2) the Average square aliasing pattern; and (3) the Pairwise dependency ratio. These criteria provide insight when traditional criteria fail to differentiate between designs. We theoretically study the relationship between the MAP criteria and traditional quantities and demonstrate the use of SEAS for comparing some examples of supersaturated designs.
